Analytic approximate solutions for steady flow over a rotating disk in porous medium with heat transfer by homotopy analysis method

In this paper, the homotopy analysis method (HAM) is applied to obtain the approximate analytical solutions of the steady flow over a rotating disk in porous medium with heat transfer. The analytic solutions of the system of nonlinear ordinary differential equations are constructed in the series form. The convergence of the obtained series solutions is carefully analyzed. The velocity and temperature profiles are shown and the influence of the porosity parameter is discussed in detail. The validity of the obtained solutions is verified by the numerical results (fourth-order Runge–Kutta method and shooting method).

► The homotopy analysis method is used to obtain the analytical solutions of flow.
► The analytic solutions of the system of nonlinear ODEs are constructed in the series form.
► The influence of the porosity parameter is discussed in detail.
► The validity of the obtained solutions is verified by the numerical results.